127 Answered Questions for the topic ACT Science

12d

#### Ideal gas law question

The pistons of two identical cylinders are rigidly connected to each other. The cylinders contain the same amount of the same heated gas. Suppose that one cylinder is heated and the other is...
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#### Why is it important to have an Instructor who scores PERFECTLY

Many Tutors cite top 1% scores, without disclosing that this might mean they missed as many as 5-10 total questions on his/ her Exam. These are questions they can’t possibly explain to you...
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#### Interesting physics problem about ice ball in Sun's orbit

An ice ball flew into the Sun's orbit and began to melt. Find the time it takes for this ball to melt if the distance from it to the Sun is d and the initial radius of the ball is R0. Ice density...
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#### What thickness of ice will form on the surface of the lake

What thickness of ice will form on the surface of the lake in time t if the temperature of the enviroment is TA is constant and the surface temperature of the lake is equal to the temperature of...
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15d

#### Chemical reaction balancing problem

4.800 g of H2 was mixed and ignited with 36.40 g of O2.
How much and which substances will be present in the reaction flask when the reaction is complete?
Prove that the total mass of all the...
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12/28/22

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#### Refraction in a prism

I'm having problems with this optics problem:Glass prism ABC with refractive index n1 = 1.6, vertex A angle α = 40° and vertex B angle β = 60°,placed in a container with two different liquids...
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09/20/22

#### Kirchoff's laws and electrical circuit

Two batteries with emf ε1 = 10 V and emf ε2 = 20 V and internal resistances r1 = 1 Ω and r2 = 2 Ω, respectively, are connected in parallel, and then connected in parallel to a resistor of R = 30 Ω...
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#### Melting ice cubes

Two identical ice cubes are placed in two large containers, one containing tap water and the other containing a strong saline solution. Both liquids are of equal volume and at the same room...
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#### Physics problem about two rotating discs

Two parallel discs are freely rotating around the same vertical axis and in the same direction. The moment of inertia of the first disc is I1, angular velocity - ω1. The moment of inertia of the...
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#### Body rotating about its axis problem

A rigid body composed of n particles with positions xi, and masses mi (i = 1, 2, . . . , n), rotates about the z-axis with constant angular speed ω. Show that the body’s kinetic energy is T = 0.5...
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08/02/22

#### Trolley travelling along a frictionless track

A trolley travels with initial speed v0 along a frictionless, horizontal, linear track. It slows down by ejecting gas in the direction of motion. The gas is emitted at a constant mass ejection rate...
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#### Equilibrium of a System

A triangular plate, vertices at points A, B and C, has uniformly distributed mass M and is held horizontally with the help of three vertical forces acting through the three vertices. If AB = c, BC...
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#### Physics problem about throwing a stone into a well

The diameter of the well is d = 1.3 m, and the distance from the top of the well to the water surface is h = 5 m. What is the minimum velocity required to throw a stone from a point located a = 9 m...
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#### Forces on a point particle

Two forces F1 = 3 N and F2 = 4 N act upon a point particle, the forces respectively form angles α = 10° andβ = 40°. Find the magnitude and angle of the resultant force with the x-axis. Consider two...
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#### Projectile motion problem

An object is thrown with an initial velocity v0 = 21 m/s and an angle α = 60° with the horizon. At what height will its velocity make β = 30° angle with the horizon?

#### Interesting physics problem about escalator

A physics student decided to investigate the escalator. By the time he went down the escalator for the first time, he counted n1 = 50 steps. The second time, moving down at three times the speed,...
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07/25/22

#### Find the resistance between point A and B

a) A figure made of wire consists of two equilateral triangles of triangles as shown in fig. a). The length of the side of the larger triangle is a, the longitudinal resistance of the wire is ρ....
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#### Physics problem about two different liquids

There are two immiscible layers of different liquids in a bowl, the densities and the thicknesses are ρ1, ρ2, h1, h2, respectively. Then, a small ball is placed to sink from the surface of the...
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Act Science Physics

07/20/22

#### A liquid of density ρ is in a container with bottom area S. How much will the level of that liquid rise in the container if we throw a non-sinking object of mass m into the container?

A liquid of density ρ is in a container with bottom area S. How much will the level of that liquid rise in the container if we throw a non-sinking object of mass m into the container?

Act Science Physics

07/20/22

#### Physics question about gas pressure

We have a closed frustoconical container filled with compressed gas. Are the forces that the gas is exerting equally pressing the flat sides of the container (bottom and top)? If not, then why does...
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Act Science Physics

07/20/22

#### A ball and a cube of equal mass lie on the floor. Both bodies are lifted up to the ceiling. In which case more work is done?

#### Interesting tricky physics problem

A spacecraft (with velocity v) moves towards a cloud of cosmic dust of density p2. The dust that hit the spacecraft, sticks to it. Then the engine is turned on, so that the velocity of the...
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#### Physics problem: rope sliding off the fence

A rope of length l<h is thrown over a fence of height h. Initially, the rope is in equilibrium position. At some moment, the equilibrium is lost and the rope slides off the fence. Find how much...
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