Q: A nurse uses a syringe with a needle of cross-sectional area $$1.0 \times 10$$^{-6}$$\ \mathrm{m^2$} to $$inject medicine. If the nurse applies a force of $$2.0\ \mathrm{N}$$, what is the pressure exerted by the fluid inside the needle?

$$2.0 \times 10$$^{6}$$\ \mathrm{Pa}$$

Question 1

A car accelerates uniformly from rest to a velocity of $$20\ \mathrm{m/s} in$$ $$5\ \mathrm{s}. $$What is the magnitude of its acceleration?

Accepted Answer

$$2\ \mathrm{m/s^2$}$$

Question 2

Which of the following best describes the difference between a vector and a scalar quantity?

Accepted Answer

A vector has both magnitude and direction, while a scalar has only magnitude.

Question 3

A projectile is launched horizontally from the top of a $$45\ \mathrm{m}$$ high cliff with an initial speed of $$10\ \mathrm{m/s}. $$Neglecting air resistance, how far from the base of the cliff does the projectile land? (Take $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$30\ \mathrm{m}$$

Question 4

A $$5\ \mathrm{kg}$$ object is acted upon by a net force of $$15\ \mathrm{N}. $$What is its acceleration?

Accepted Answer

$$3\ \mathrm{m/s^2$}$$

Question 5

A $$10\ \mathrm{kg}$$ box rests on a horizontal surface. The coefficient of static friction between the box and the surface is $$0.4. $$What is the minimum horizontal force required to start moving the box? (Take $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$39.2\ \mathrm{N}$$

Question 6

A satellite orbits Earth in a circular path at a constant speed. Which of the following statements is true about the forces acting on the satellite?

Accepted Answer

The gravitational force provides the centripetal force required for circular motion.

Question 7

A uniform beam of length $$4\ \mathrm{m}$$ and mass $$20\ \mathrm{kg} is $$supported at its center. A $$40\ \mathrm{kg}$$ child sits at one end. Where should a $$60\ \mathrm{kg}$$ adult sit to balance the beam?

Accepted Answer

$$1.33\ \mathrm{m}$$\ (\frac{4}{3}\ \mathrm{m})$$ from the center on the opposite side

Question 8

A $$0.2\ \mathrm{kg}$$ ball moving at $$5\ \mathrm{m/s}$$ collides head-on and sticks to a $$0.3\ \mathrm{kg}$$ ball initially at rest. What is the final velocity of the combined mass after the collision?

Accepted Answer

$$2\ \mathrm{m/s}$$

Question 9

A $$2\ \mathrm{kg}$$ object is dropped from a height of $$10\ \mathrm{m}. $$What is its kinetic energy just before hitting the ground? (Neglect air resistance, $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$196\ \mathrm{J}$$

Question 10

A hydraulic lift uses a small piston of area $$0.01\ \mathrm{m^2$} to $$lift a car with a large piston of area $$0.5\ \mathrm{m^2$}. If a $$force of $$200\ \mathrm{N} is $$applied to the small piston, what is the maximum weight of the car that can be lifted? (Assume ideal conditions)

Accepted Answer

$$10,000\ \mathrm{N}$$

Question 11

A $$0.5\ \mathrm{kg}$$ mass is attached to a spring and stretches it by $$0.2\ \mathrm{m}. $$What is the spring constant $$k$$?

Accepted Answer

$$24.5\ \mathrm{N/m}$$

Question 12

A $$1,000\ \mathrm{kg}$$ car moving at $$20\ \mathrm{m/s}$$ comes to a stop in $$5\ \mathrm{s}$$ due to a constant braking force. What is the magnitude of the braking force?

Accepted Answer

$$4,000\ \mathrm{N}$$

Question 13

A $$2\ \mathrm{kg}$$ object moves in a circle of radius $$0.5\ \mathrm{m} at a $$speed of $$4\ \mathrm{m/s}. $$What is the magnitude of the centripetal force acting on the object?

Accepted Answer

$$64\ \mathrm{N}$$

Question 14

A block of wood floats in water with $$60\% of $$its volume submerged. What is the density of the wood if the density of water is $$1,000\ \mathrm{kg/m^3$}$$?

Accepted Answer

$$600\ \mathrm{kg/m^3$}$$

Question 15

A $$0.5\ \mathrm{kg}$$ ball is swung in a horizontal circle of radius $$2\ \mathrm{m} at a $$constant speed of $$3\ \mathrm{m/s}. $$What is its angular momentum?

Accepted Answer

$$3\ \mathrm{kg\cdot m^2$/s}$$

Question 16

A $$1,500\ \mathrm{kg}$$ car travels at $$25\ \mathrm{m/s}$$ and collides with a stationary $$2,000\ \mathrm{kg}$$ truck. If they stick together after the collision, what is their final velocity?

Accepted Answer

$$10.7\ \mathrm{m/s}$$

Question 17

A $$0.1\ \mathrm{m^3$}$$ block of iron (density $$7,800\ \mathrm{kg/m^3$}) is $$completely submerged in water. What is the buoyant force acting on the block? (Take $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$980\ \mathrm{N}$$

Question 18

A $$2\ \mathrm{kg}$$ mass is attached to a string and swung in a vertical circle of radius $$1.5\ \mathrm{m}. $$What is the minimum speed at the top of the circle so the string remains taut? (Take $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$4.83\ \mathrm{m/s}$$

Question 19

A $$0.5\ \mathrm{kg}$$ ball is dropped from rest from a height of $$8\ \mathrm{m}. $$What is its speed just before hitting the ground? (Take $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$12.5\ \mathrm{m/s}$$

Question 20

A nurse uses a syringe with a needle of cross-sectional area $$1.0 	imes 10$$^{-6}$$\ \mathrm{m^2$} to $$inject medicine. If the nurse applies a force of $$2.0\ \mathrm{N}$$, what is the pressure exerted by the fluid inside the needle?

Accepted Answer

$$2.0 	imes 10$$^{6}$$\ \mathrm{Pa}$$

General Physics I (Physics 1511) – Syllabus and Course Structure Overview

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