Q: A projectile is launched at an angle $$\theta$$ above the horizontal with initial speed $$v_0. $$What is the formula for its maximum height?

$$\frac{v_0$^2 \sin^2$ \theta}{2g}$$

Question 1

How many milliseconds are in one day?

Accepted Answer

$$8.64 	imes 10^7$

Question 2

Refer to the position vs. time graph of a rabbit moving along a tunnel. In which time interval is the rabbit going towards negative $$x$$ and slowing down?

Accepted Answer

45 to 50 s

Question 3

Amy sails 3.0 km due west, then 8.0 km at $$30^\circ$$ north of east. What is her distance from the starting point (in km)?

Accepted Answer

6.6

Question 4

A hot air balloon is ascending at $$10\ \mathrm{m/s}$$ and is $$75\ \mathrm{m}$$ above the ground when a package is dropped. How long does it take for the package to reach the ground (in s)? Use $$g = 9.8\ \mathrm{m/s^2$}.$$

Accepted Answer

5.1

Question 5

A Piper J3 Cub airplane starts from rest and reaches a lift-off speed of $$57.60\ \mathrm{km/h}$$ after traveling $$113.0\ \mathrm{m}. $$What is its acceleration (in $$\mathrm{m/s^2$}$$)?

Accepted Answer

1.133

Question 6

A pop-up fly ball leaves the bat with a speed of $$30.0\ \mathrm{m/s}$$ and is caught at the same height. Ignoring air resistance, how long is the ball in the air (in s)?

Accepted Answer

6.1

Question 7

An empty elevator of mass $$430\ \mathrm{kg}$$ decelerates at $$1.80\ \mathrm{m/s^2$} as it $$arrives at the ground floor. What is the tension in its supporting cable (in N)?

Accepted Answer

4,210

Question 8

Five identical candy boxes, each of mass $$1.0\ \mathrm{kg}$$, are stacked vertically on a tray table on a train moving at a constant speed of $$11\ \mathrm{m/s}. $$What is the net force acting on the middle box (in N)?

Accepted Answer

0

Question 9

A $$4.0\ \mathrm{kg}$$ block slides with negligible friction down a plank inclined at $$36^\circ$$ from the horizontal. What is its acceleration (in $$\mathrm{m/s^2$}$$)?

Accepted Answer

5.8

Question 10

Three blocks are connected and pulled to the right on a frictionless table by a force $$T_3 = 201$$\ \mathrm{N}$$. If m_1$ = 12\ \mathrm{kg}$$, $$m_2 = 24$$\ \mathrm{kg}$$, and m_3$ = 31\ \mathrm{kg}$$, what is the magnitude of the tension $$T_1 (in N$$)?

Accepted Answer

36

Question 11

A car accelerates uniformly from rest to $$20\ \mathrm{m/s} in$$ $$10\ \mathrm{s}. $$What is the distance traveled by the car during this time?

Accepted Answer

$$100\ \mathrm{m}$$

Question 12

A projectile is launched at an angle $$	heta$$ above the horizontal with initial speed $$v_0. $$What is the formula for its maximum height?

Accepted Answer

$$\frac{v_0$^2 \sin^2$ 	heta}{2g}$$

Question 13

A $$2.0\ \mathrm{kg}$$ object is acted on by a net force of $$10\ \mathrm{N}$$ for $$4.0\ \mathrm{s}. $$What is the change in velocity of the object?

Accepted Answer

$$20\ \mathrm{m/s}$$

Question 14

A cyclist travels $$10\ \mathrm{km}$$ north, then $$10\ \mathrm{km}$$ east. What is the magnitude of the displacement?

Accepted Answer

$$\sqrt{200}\ \mathrm{km}$$

Question 15

A $$5.0\ \mathrm{kg}$$ box is pulled across a horizontal surface with a force of $$20\ \mathrm{N} at an $$angle of $$30^\circ$$ above the horizontal. What is the horizontal component of the force?

Accepted Answer

$$20 \cos 30^\circ$$

Exam 1 - Study Guide A

Guida di studio - Domande di pratica

Study guide - Flashcard