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siniylev [52]
3 years ago
11

A person stands at rest on a slope which makes an angle 25 degrees to the horizontal. They have a mass of 71 kg. They start to r

un up the slope. After a time of
9.9 s they reach a distance 29 m up the slope and have a velocity of 4.7 m/s.
(a) Calculate the vertical height gained.
select units
(b) Determine how much energy the person has used.
select units
(c) Calculate the average power output of the person.
select units
Physics
2 answers:
Bezzdna [24]3 years ago
7 0

Answer:

a) 12.2559 m

b) 9320.5519 J

c) 941.4699 W

Explanation:

a) Use sine to find vertical height.

sinθ = opposite/hypotenuse

∴ sin25 = h/29

∴ h = 29 (sin25) = 12.25592959 metres

b) Find mechanical energy using potential and kinetic energy.

Total energy used is mechanical energy. Menchanical energy (E) is equal to potential energy (U=mgh) plus kinetic energy (K= (0.5)m v²).

E = U + K

= mgh + (0.5)m v²

= (71)(9.81)(12.2559) + (0.5)(71)(4.7²)

= 8536.356909 + 784.195

= 9320.551909 Joules

c) Find power using answer from part b

Power = energy / time elapsed

= 9320.5519/9.9

= 941.4698898 Watts

Lemme know if you have any questions :)

Komok [63]3 years ago
6 0
It’s C because I took the test and got it right
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Starting with the definition 1.00 in. = 2.54 cm, find the number of kilometers in 8.00 mi .
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---------- X --------------------- X
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8 0
4 years ago
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7 0
3 years ago
Read 2 more answers
A 50.0-kg child stands at the rim of a merry-go-round of radius 2.00 m, rotating in such a way that it makes one revolution in 2
Vaselesa [24]

Answer:

2.01

Explanation:

First, we need to find the centripetal acceleration.

We're given that the merry go round rotates 1 revolution in 2.09 seconds. Converting to rpm, we know that it rotates 30 revolution per minute

Now this speed gotten in rpm will be converted to m/s, to ease the calculation

30 rpm = πdN/60 m/s

30 rpm = (3.142 * 4 * 30)/60

30 rpm = 377.04/60

30 rpm = 6.284 m/s

a(c) = v²/r

a(c) = 6.284²/2

a(c) = 39.49 / 2

a(c) = 19.74 m/s²

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Also, Normal Force, F(n) =

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We then use this to find the coefficient of static friction, μ

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μ = 2.01

7 0
3 years ago
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