Q: A block of wood floats in water with 60% of its volume submerged. What is the density of the wood?

$$\rho_{\text{wood}} = 0.6\ \rho_{\text{water}}$$

Q: A 1.0 kg block is attached to a spring with force constant $$k = 100\ \mathrm{N/m}. If $$the block is pulled 0.2 m from equilibrium and released, what is the maximum speed it attains?

$$v_{\text{max}} = 2.0\ \mathrm{m/s}$$

Question 1

A car accelerates uniformly from rest along a straight road. After 5 seconds, it has traveled 100 meters. What is the magnitude of its acceleration?

Accepted Answer

$$a = 4\ \mathrm{m/s^2$}$$

Question 2

A projectile is launched at an angle $$	heta$$ above the horizontal with initial speed $$v_0. $$Neglecting air resistance, which of the following statements is correct about the projectile's motion?

Accepted Answer

The horizontal velocity remains constant throughout the flight.

Question 3

A 5 kg object is acted upon by two forces: $$\vec{F}_1 = 10\ \mathrm{N}$$ east and $$\vec{F}_2 = 10\ \mathrm{N}$$ north. What is the magnitude of the object's acceleration?

Accepted Answer

Question 4

A 2 kg mass is attached to a string and swung in a horizontal circle of radius 1.5 m at a constant speed of 3 m/s. What is the tension in the string?

Accepted Answer

$$T = 12\ \mathrm{N}$$

Question 5

A satellite orbits Earth in a circular orbit of radius $$r. If $$the radius of the orbit is doubled, how does the gravitational force between the Earth and the satellite change?

Accepted Answer

It becomes one-fourth as large.

Question 6

A box is pushed up a frictionless incline at an angle $$	heta$$ with a constant force $$F$$ parallel to the incline. Which of the following best describes the work done by the force $$F as $$the box moves a distance $$d up $$the incline?

Accepted Answer

$$W = Fd$$

Question 7

A 0.2 kg ball moving at $$5\ \mathrm{m/s}$$ collides elastically with a stationary 0.2 kg ball. What is the velocity of the first ball after the collision?

Accepted Answer

$$0\ \mathrm{m/s}$$

Question 8

A uniform beam is balanced at its center. If a 10 kg mass is hung 2 m from the pivot on one side, how far from the pivot on the other side should a 5 kg mass be hung to balance the beam?

Accepted Answer

$$4\ \mathrm{m}$$

Question 9

A hydraulic lift uses a small piston of area $$A_1 = 0.01$$\ \mathrm{$$m^2$$}$$ and a large piston of area A_2$ = 0.5\ \mathrm{m^2$}. If a $$force of $$F_1 = 100$$\ \mathrm{N}$$ is applied to the small piston, what is the maximum weight that can be lifted by the large piston (neglecting the weight of the pistons and fluid)?

Accepted Answer

$$F_2 = 5000$$\ \mathrm{N}$$

Question 10

A block of wood floats in water with 60% of its volume submerged. What is the density of the wood?

Accepted Answer

$$ho_{	ext{wood}} = 0.6\ ho_{	ext{water}}$$

Question 11

A mass on a spring oscillates with amplitude $$A$$ and period $$T. At $$what time after passing through equilibrium will it reach its maximum displacement?

Accepted Answer

$$t = \dfrac{T}{4}$$

Question 12

A standing wave is formed on a string fixed at both ends. If the string vibrates in its third harmonic, how many antinodes are present?

Accepted Answer

3

Question 13

A gas in a sealed container is heated at constant volume. According to the kinetic theory, what happens to the average kinetic energy of the molecules?

Accepted Answer

It increases.

Question 14

Which of the following processes is an example of heat transfer by convection?

Accepted Answer

Warm air rising near a heater.

Question 15

A heat engine absorbs $$Q_H = 500\ \mathrm{J} of $$heat from a hot reservoir and expels $$Q_C = 300\ \mathrm{J} to a $$cold reservoir in each cycle. What is the efficiency of the engine?

Accepted Answer

$$\eta = 0.4$$

Question 16

A student pushes a 10 kg box across a horizontal floor at constant speed with a force of 50 N. What is the coefficient of kinetic friction between the box and the floor?

Accepted Answer

$$\mu_k = 0.5$$

Question 17

A 2 kg object moving at $$4\ \mathrm{m/s}$$ collides inelastically with a 3 kg object at rest. What is their final velocity after the collision?

Accepted Answer

$$v_f = 1.6\ \mathrm{m/s}$$

Question 18

A 0.5 kg ball is attached to a string and swung in a vertical circle of radius 2 m. What is the minimum speed at the top of the circle so the string remains taut?

Accepted Answer

$$v = 4.4\ \mathrm{m/s}$$

Question 19

A 1.0 kg block is attached to a spring with force constant $$k = 100\ \mathrm{N/m}. If $$the block is pulled 0.2 m from equilibrium and released, what is the maximum speed it attains?

Accepted Answer

$$v_{	ext{max}} = 2.0\ \mathrm{m/s}$$

Question 20

A container of gas is compressed isothermally. Which of the following statements is true?

Accepted Answer

The internal energy of the gas remains constant.

Physics 11000 (3810) Summer 2026 Syllabus – Hunter College

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