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GenaCL600 [577]
3 years ago
8

Compare the KE of an 80 kg person walking at 4 m/s with that of the same person moving at 6 m/s.

Physics
1 answer:
Alla [95]3 years ago
7 0
The correct answer is:
<span>KE at 4 m/s less than KE at 6 m/s

In fact, the formula for the kinetic energy is:
</span>K= \frac{1}{2} mv^2
<span>where m is the mass of the person and v his speed.

When the person is moving at 4 m/s, his kinetic energy is:
</span>K= \frac{1}{2} (80 kg)(4 m/s)^2=640 J
instead, when he's moving at 6 m/s, his kinetic energy is:
K= \frac{1}{2}(80 kg)(6 m/s)^2=1440 J

So, the kinetic energy at 4 m/s is less than the kinetic energy at 6 m/s.
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1. A 100-kg crate is pulled across a warehouse floor using a rope with a force of 250 N at an angle of 45o from the horizontal.
harkovskaia [24]

Answer:

(a) The net force is 80.394 N

    The acceleration of the crate is 0.804 m/s²

(b) the final velocity of the crate is 5.02 m/s

Explanation:

Given;

mass of the crate, m = 100 kg

applied force, F = 250 N

angle of inclination, θ = 45°

coefficient of friction, μ = 0.12

Applied force in y-direction, F_y = Fsin \theta = 250sin45 = 176.78 \ N

Applied force in x-direction, F_x = Fcos \theta = 250cos45 = 176.78 \ N

The normal force is calculated as;

N + Fy -W = 0

N = W - Fy

N = (100 x 9.8) - 176.78

N = 980 - 176.78 = 803.22 N

The frictional force is given by;

Fk = μN

Fk = 0.12 x 803.22

Fk = 96.386 N

(a) The net force is given by;

F_{net} = F_x - F_k\\\\F_{net} = 176.78-96.386\\\\F_{net} = 80.394 \ N

Apply Newton's second law of  motion;

F = ma

a = \frac{F_{net}}{m}\\\\ a = \frac{80.394}{100}\\\\ a = 0.804 \ m/s^2

(b) the velocity of the crate after 5.0 s

F = ma= \frac{m(v-u)}{t} \\\\Ft =m(v-u)\\\\v-u = \frac{Ft}{m}\\\\ v = \frac{Ft}{m} + u\\\\v = \frac{F_{net}*t}{m} + u\\\\v = \frac{80.394*5}{100} + 1\\\\v = 5.02 \ m/s

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