Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 11: Q. 28 (page 288)

Dan is gliding on his skateboard at 4.0m/s. He suddenly jumps backward off the skateboard, kicking the skateboard forward at 8.0m/s. How fast is Dan going as his feet hit the ground? Dan’s mass is 50kg and the skateboard’s mass is 5.0kg.

Short Answer

Expert verified

The sped of the Dan is 3.6m/s.

Step by step solution

01

Given information

We have given,

MassofDan=50kgMassofskateboard=5kgvelocityofskateboard=8m/s

We have to find the Dan final speed.

02

Simplify

According to conservation law of momentum that the initial momentum of the system will be same to the final momentum of the system.

then, we can write

the initial momentum of the system will be given as,

PI=(mDan+mSkateboard)VPI=(50kg+5kg)(4m/s)Pi=220kgm/s

then, the final momentum will be,

PF=mDanVFINALDAN+mSkateboardVFINALSKATEBIARDPF=(50kg)V+(5kg×8m/s)=220kgm/sV=3.6m/s

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.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

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

a. A bullet of mass m is fired into a block of mass M that is at rest. The block, with the bullet embedded, slides distance dacross a horizontal surface. The coefficient of kinetic friction is μk. Find an expression for the bullet’s speed vbullet

b. What is the speed of a 10g bullet that, when fired into a 10kg stationary woodblock, causes the block to slide 5.0 cm across a wood table?

A 1000 kg cart is rolling to the right at 5.0 m/s. A 70 kg man is standing on the right end of the cart. What is the speed of the cart if the man suddenly starts running to the left with a speed of 10 m/s relative to the cart?

A 50gball of clay traveling at speed v0hits and sticks to a 1.0kgbrick sitting at rest on a frictionless surface.

a. What is the speed of the brick after the collision?

b. What percentage of the mechanical energy is lost in this collision?


A 0.2kgplastic cart and a 20kglead cart can both roll without friction on a horizontal surface. Equal forces are used to push both carts forward for a distance of 1m, starting from rest. After traveling 1m, is the momentum of the plastic cart greater than, less than, or equal to the momentum of the lead cart? Explain.

Two balls of clay of known masses hang from the ceiling on massless strings of equal length. They barely touch when both hang at rest. One ball is pulled back until its string is at 45°, then released. It swings down, collides with the second ball, and they stick together. To determine the angle to which the balls swing on the opposite side, would you invoke

(a) conservation of momentum, (b) conservation of mechanical energy, (c) both, (d) either but not both, or (e) these laws alone are not sufficient to find the angle? Explain.
See all solutions

Recommended explanations on Physics Textbooks

Kinematics Physics

Read Explanation

Famous Physicists

Read Explanation

Physical Quantities And Units

Read Explanation

Waves Physics

Read Explanation

Astrophysics

Read Explanation

Electric Charge Field and Potential

Read Explanation
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.

Sign-up for free