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muminat
3 years ago
11

We wrap a light, nonstretching cable around a 10.0 kg kg solid cylinder with diameter of 38.0 cm cm . The cylinder rotates with

negligible friction about a stationary horizontal axis. We tie the free end of the cable to a 14.0 kg kg block and release the block from rest. As the block falls, the cable unwinds without stretching or slipping.How far will the mass have to descend to give the cylinder 510 J of kinetic energy?
Physics
1 answer:
amm18123 years ago
6 0

Answer: 14.16

Explanation:

Given

d = 38cm

r = d/2 = 38/2 = 19cm = 0.19m

K.E = 510J

m = 10kg

I = 1/2mr²

I = 1/2*10*0.19²

I = 0.18kgm²

When it has 510J of Kinetic Energy then,

510J = 1/2Iω²

ω² = 1020/I

ω² = 1020/0.18

ω² = 5666.67

ω = √5666.67 = 75.28 rad/s

Velocity is the block, v = ωr

V = 75.28 * 0.19

V = 14.30m/s

The "effective mass" M of the system is

M = (14.0 + ½*10.0) kg = 19.0 kg

The motive force would be

F = ma

F = 14 * 9.8

F = 137.2N

so that the acceleration would be

a = F/m

a = 137.2/19

a = 7.22m/s²

Finally, using equation of motion.

V² = u² + 2as

14.3² = 0 + 2*7.22*s

204.49 = 14.44s

s = 204.49/14.44

s = 14.16m

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A lunar vehicle is tested on earth at a speed of 12 km/h. When it travels at the same speed on the moon, is its momentum greater
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Momentum is defined as product of mass and velocity

so it is

P = mv

so here since velocity will remain same as that is on the surface of earth

As well as the mass is always conserved

so here neither mass nor the velocity will change when it is moving on moon

<em>So the momentum will remain unchanged and remain the same</em>

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Consider a deer that runs from point A to point B. The distance the deer runs can be greater than the magnitude of its displacem
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True

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the magnitude of displacement is always less than or equal to the distance traveled by the body.

As a deer runs from A to b , so it means the distance traveled by the deer is either equal to the magnitude of displacement or always greater than the magnitude of displacement of the deer.

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3 years ago
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Anastasy [175]

The pace at which an object's momentum changes is defined by force. Momentum is the motion of an item. When an item moves with double the velocity, its momentum doubles. As you change the speed of an object, the force causes it to change momentum. So momentum is the product of force and time.

1. Momentum = 100kg.m/s

Momentum is the motion contained in any object/ mass and is simply the product of mass and velocity

So momentum = mass × velocity

Momentum = 25× 4

= 100kg.m/s

2. As, we know momentum = mass × velocity

that is p = mv

we have momentum (p) = 2 kg m/s and velocity (v) = 8 m/s

so substitute values in p=mv

2 kg m/s = m × 8 m / s

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Therefore, mass of substance is 0.25 kg.

3. Momentum(M) = mass(m) x velocity(v)

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125 = 25 x v

v = 5 m/sec

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4. Weight = 1.4 N

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For 1. Momentum = 100kg.m/s, 2. mass of substance is 0.25 kg, 3. The car is going 5 m/s, 4. Momentum = 6.3474 kg m/s

Learn more about momentum here

brainly.com/question/1042017

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