/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q8P A 1.50聽kg聽 snowball is fired f... [FREE SOLUTION] | 91影视

91影视

A 1.50kg snowball is fired from a cliff12.5m high. The snowball鈥檚 initial velocity is14.0m/s , directed 41.0above the horizontal. (a) How much work is done on the snowball by the gravitational force during its flight to the flat ground below the cliff? (b) What is the change in the gravitational potential energy of the snowball-Earth system during the flight? (c) If that gravitational potential energy is taken to be zero at the height of the cliff, what is its value when the snowball reaches the ground?

Short Answer

Expert verified

a) Work is done on the snowball by the gravitational force is Wg=184J

b) The change in the gravitational potential energy of the snowball鈥揈arth system during the flightU=184鈥嬧赌塉

c) Gravitational potential energy when the snowball reaches the ground is U=184J

Step by step solution

01

Given

i) Mass of snowballm=1.50鈥塳驳

ii) Height through which the snowball dropsh=12.5鈥尘

iii) Gravitational acceleration g=9.8m/s2

iv) The angle 0=41.0o

v) Initial velocityv0=14.0m/s

02

To understand the concept

Find the work done due to gravity using the formula in terms of gravitational force and height of the object.

i) Gravitational work on ball is given by formula

ii) Change in potential energy is given by

iii) Potential energy

03

(a) Calculate how much work is done on the snowball by the gravitational force during its flight to the flat ground below the cliff

Theforce is vertically downward and has magnitude mg, where mis the mass of the snowball.

Wg=mgh

Wg=1.509.8012.5

Wg=184鈥塉

04

(b) Calculate the change in the gravitational potential energy of the snowball-Earth system during the flight

The force of gravity is conservative, so the change in the potential energy of the snowball Earth system is negative of the work that it does

U=Wg=mgh

U=mgh

U=1.509.8012.5

U=184鈥塉

05

(c) Calculate value of gravitational potential energy when the snowball reaches the groundif it is taken to be zero at the height of the cliff

The potential energy, when it reaches the ground, is less than the potential energy when it is fired so, the potential energy when the snowball hits the ground is

U=mgh

U=1.509.8012.5

U=184鈥塉

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Tarzan, who weighs 688 N , swings from a cliff at the end of a vine 18 m long (Figure). From the top of the cliff to the bottom of the swing, he descends by 3.2 m . The vine will break if the force on it exceeds 950 N . (a) Does the vine break? (b) If no, what is the greatest force on it during the swing? If yes, at what angle with the vertical does it break?

In Fig. 8-23a, you pull upward on a rope that is attached to a cylinder on a vertical rod. Because the cylinder fits tightly on the rod, the cylinder slides along the rod with considerable friction. Your force does work W=+100Jon the cylinder鈥搑od鈥揈arth system (Fig. 8-23b).An 鈥渆nergy statement鈥 for the system is shown in Fig. 8-23c: the kinetic energy K increases by 50J, and the gravitational potential energy Ugincreases by 20 J. The only other change in energy within the system is for the thermal energyEth.What is the change 螖贰th?

(Figure (a))applies to the spring in a cork gun (Figure (b)); it shows the spring force as a function of the stretch or compression of the spring. The spring is compressed by 5.5 cm and used to propel a 3.8 g cork from the gun. (a) What is the speed of the cork if it is released as the spring passes through its relaxed position? (b) Suppose, instead, that the cork sticks to the spring and stretches it 1.5 cm before separation occurs. What now is the speed of the cork at the time of release?

The arrangement shown in Fig. 8-24 is similar to that in Question 6. Here you pull downward on the rope that is attached to the cylinder, which fits tightly on the rod. Also, as the cylinder descends, it pulls on a block via a second rope, and the block slides over a lab table. Again consider the cylinder鈥搑od鈥揈arth system, similar to that shown in Fig. 8-23b. Your work on the system is 200J.The system does work of 60Jon the block. Within the system, the kinetic energy increases by 130Jand the gravitational potential energy decreases by 20 J. (a) Draw an 鈥渆nergy statement鈥 for the system, as in Fig. 8-23c. (b) What is the change in the thermal energy within the system?

In Figure 8-29, a single frictionless roller-coaster car of massm=825鈥塳驳tops the first hill with speed v0=17.0鈥尘/sat heighth=42.0鈥尘.How much work does the gravitational force do on the car from that point to (a) Point A, (b) Point B, (c) Point C? If the gravitational potential energy of the car-Earth system is taken to be zero at C, what is its value when the car is at (d) B, (e) A? (f) If mass m were doubled, would the change in the gravitational potential energy of the system betweenpoints A and B increase, decrease, or remain the same?

See all solutions

Recommended explanations on Physics Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.