Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 9: Q23P (page 248)

Until his seventies, Henri LaMothe (Figure 9-48.) excited audiences by belly-flopping from a height of 12 minto 30 cmof water. Assuming that he stops just as he reaches the bottom of the water and estimating his mass, find the magnitude of the impulse on him from the water.

Short Answer

Expert verified

The magnitude of the impulse from the water, J=1.1×103kg.m/s

Step by step solution

01

Understanding the given information

The estimated mass of Henri,m=70kg

The height above the water,h=12m

The depth of water, d=30cm1m100cm=0.30m

02

Concept and Formula used for the given question

We can use the equation of impulse relating to the change in momentum to calculate the impulse of water. The speed of Henri at the surface of the water can be calculated using the kinematic equation which is given as.

J=∆PP=mv2-v1vf2=vi2+2ay

03

Calculation for the magnitude of the impulse on him from the water

The kinematic equation

vf2=vi2+2ay

Using this equation to calculate the velocity of Henri when he touches the surface of the water, we get

vf=0m/s2+2×9.8m/s2×12=15.34m/s

Now, using the impulse-momentum theorem, the impulse by the water is,

J=∆P=m×v2-v1=70kg×0m/s-15.34m/s=-1.1×103kg.m/s

So, the magnitude of impulse is,

J=1.1×103kg.m/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

Basilisk lizards can run across the top of a water surface (Figure 9-52). With each step, a lizard first slaps its foot against the water and then pushes it down into the water rapidly enough to form an air cavity around the top of the foot. To avoid having to pull the foot back up against water drag in order to complete the step, the lizard withdraws the foot before water can flow into the air cavity. If the lizard is not to sink, the average upward impulse on the lizard during this full action of slap, downward push, and withdrawal must match the downward impulse due to the gravitational force. Suppose the mass of a basilisk lizard is 9.00 g, the mass of each foot is 3.00 g , the speed of a foot as it slaps the water is 1.50 m/s , and the time for a single step is 0.600 s .(a) What is the magnitude of the impulse on the lizard during the slap? (Assume this impulse is directly upward.) (b) During the 0.600 sduration of a step, what is the downward impulse on the lizard due to the gravitational force? (c) Which action, the slap or the push, provides the primary support for the lizard, or are they approximately equal in their support?

Ball B, moving in the positive direction of an xaxis at speed v, collides with stationary ball Aat the origin. Aand Bhave different masses. After the collision, Bmoves in the negative direction of the yaxis at speed v/2 . (a) In what direction does Amove? (b) Show that the speed of A cannot be determined from the given information.

Particle A and particle B are held together with a compressed spring between them. When they are released, the spring pushes them apart, and they then fly off in opposite directions, free of the spring. The mass of A is 2.00 times the mass of B, and the energy stored in the spring was 60 J. Assume that the spring has negligible mass and that all its stored energy is transferred to the particles. Once that transfer is complete, what are the kinetic energies of (a) particle A and (b) particle B?

Ricardo, of mass 80 kg , and Carmelita, who is lighter, is enjoying Lake Merced at dusk in a30 kgcanoe. When the canoe is at rest in the placid water, they exchange seats, which are 3.0 mapart and symmetrically located with respect to the canoe’s center. If the canoe moves 40 cmhorizontally relative to a pier post, what is Carmelita’s mass?

A rocket that is in deep space and initially at rest relative to an inertial reference frame has a mass of 2.55×105kg, of which 1.81×105kgis fuel. The rocket engine is then fired for 250 swhile fuel is consumed at the rate of 480kg/s. The speed of the exhaust products relative to the rocket is. (a) What is the rocket’s thrust? After the 250 sfiring, what are (b) the mass and (c) the speed of the rocket?
See all solutions

Recommended explanations on Physics Textbooks

Linear Momentum

Read Explanation

Fundamentals of Physics

Read Explanation

Electric Charge Field and Potential

Read Explanation

Space Physics

Read Explanation

Physics of Motion

Read Explanation

Fluids

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