3,274 Answered Questions for the topic College Algebra

#### How much work is done?

In the figure, the rock weighs 225 lb and is lifted 1 ft by the lever.How much work is done?The other end of the lever is pushed down 3 ft while lifting the rock. What force had to act on that end?

#### how much work (in J) does the driver do?

A motorist runs out of gas on a level road 220 m from a gas station. The driver pushes the 1,220 kg car to the gas station. If a 160 N force is required to keep the car moving, how much work (in J)...
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#### Find the ratio of their speeds immediately afterward.

Two persons on ice skates stand face to face and then push each other away (see figure below). Their masses are 70 and 90 kg.Find the ratio of their speeds immediately afterward.

#### How much energy (in J) is stored in the spring under this circumstance?

A 38 kg child uses a pogo stick to bounce up and down. The spring constant, k, of the toy equals 9,300 N/m.How much energy (in J) is stored in the spring under this circumstance?

#### How high (in m) will the swing be at the high point?

A child on a swing has a speed of 3.7 m/s at the low point of the arc.

#### how fast are the divers going when they hit the water?

The cliff divers at Acapulco, Mexico, jump off a cliff 25.2 m above the ocean. Ignoring air resistance, how fast are the divers going when they hit the water?

#### What is their kinetic energy?

A bicycle and rider going 14 m/s approach a hill. Their total mass is 57 kg.(a) What is their kinetic energy?(b) If the rider coasts up the hill without pedaling, how high above its starting level...
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#### What is the minimum speed that a thrown ball would need to just reach the ceiling?

The ceiling of an arena is 38 m above the floor. What is the minimum speed that a thrown ball would need to just reach the ceiling?

#### How fast must the tackle be going before the collision for their speed afterward to be zero?

A running back with a mass of 96 kg and a speed of 7 m/s collides with, and is held by, a 144-kg defensive tackle going in the opposite direction. How fast must the tackle be going before the...
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#### What was the original speed of the clay (in m/s)?

A pitcher throws a 0.70 kg ball of clay at a 3.0 kg block of wood. The clay sticks to the wood on impact, and their joint velocity afterward is 1.1 m/s. What was the original speed of the clay (in...
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#### How much energy (in J) is stored in the spring under this circumstance?

A 38 kg child uses a pogo stick to bounce up and down. The spring constant, k, of the toy equals 9,300 N/m.(a) By how much would the spring be compressed by the child if she simply balanced...
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College Algebra

13d

#### Need help on problem solving and using formulas

So i have a math problem that equals to 180 degree triangle i have to find all 3 angles that equal up to 180. The math problem says x, x+3, x-6. I'm confused on how to work the problem to find the...
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College Algebra

14d

#### What is 2square root 3X + 7 - 4 = X + 1?

The problem has a square root. I could not type it in the title section. See the problem below.Can you please show & explain the steps in solving? Thank you. 2 3X + 7 - 4 = X + 1?

#### Find the net force on the runner using the alternate form of Newton's second law.

A runner with a mass of 85 kg accelerates from 0 to 6 m/s in 9 s. Find the net force on the runner using the alternate form of Newton's second law.

#### The change in momentum is the car's momentum when traveling 20 m/s minus its momentum when going 0 m/s. (Enter the magnitude.)

Using the alternate form of Newton's second law, compute the force (in N) needed to accelerate a 1,240 kg car from 0 to 20 m/s in 16 s. The change in momentum is the car's momentum when...
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#### Find the sprinter's linear momentum (in kg · m/s). (Enter the magnitude.)

A sprinter with a mass of 83 kg reaches a speed of 9 m/s during a race. Find the sprinter's linear momentum (in kg · m/s). (Enter the magnitude.)

#### what factor does the amount of mechanical energy stored in the spring change?

A spring is stretched by an initial amount from its relaxed state. If the spring is then stretched by three times that amount from its relaxed state, by what factor does the amount of mechanical...
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#### Compute how much kinetic energy was "lost" in this inelastic collision.

A 9,100-kg truck runs into the rear of a 1,000-kg car that was stationary. The truck and car are locked together after the collision and move with speed 8 m/s. Compute how much kinetic energy was...
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#### What is its speed (in m/s)?

A loaded gun is dropped on a frozen lake. The gun fires, with the bullet going horizontally in one direction and the gun sliding on the ice in the other direction. The bullet's mass is 0.04 kg, and...
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#### Write the kinetic, potential and total energy of a baseball having a mass of 0.145kg held 10 meters above the ground.

Write the kinetic, potential and total energy of a baseball having a mass of 0.145kg held 10 meters above the ground.
The baseball was released under the influence of gravity on Earth and...
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College Algebra

16d

#### Construct a polynomial function with the following properties: fifth degree, 2 is a zero of multiplicity 4, −4 is the only other zero, leading coefficient is 2.

#### What is the acceleration experienced by passengers on this ride in g's?

The Kingda Ka roller coaster in New Jersey is the world's tallest ride of its kind. As the passenger cars are launched from rest at the start, they are accelerated uniformly to a speed of 57...
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#### How far does the jet travel during the 7 s?

A jet aircraft with a mass of 4,400 kg has an engine that exerts a force (thrust) equal to 60,200 N.(a) What is the jet's acceleration when it takes off? (Give the magnitude.)(b)What is the jet's...
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#### What is the force in pounds that acts on him during the launch phase of this ride?

The Kingda Ka roller coaster in New Jersey is the world's tallest ride of its kind. As the passenger cars are launched from rest at the start, they are accelerated uniformly to a speed of 57...
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#### How far does the jet travel during the 7 s?

A jet aircraft with a mass of 4,400 kg has an engine that exerts a force (thrust) equal to 60,200 N.What is the jet's acceleration when it takes off? (Give the magnitude.)What is the jet's speed...
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