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Agata [3.3K]
3 years ago
8

After you pick up a spare, your bowling ball rolls without slipping back toward the ball rack with a linear speed of vi=2.62 m/s

. To reach the rack, the ball rolls up a ramp that rises through a vertical distance of h=0.47m. What is the linear speed of the ball when it reaches the top of the ramp?
Physics
1 answer:
Misha Larkins [42]3 years ago
5 0

Answer:

vf = 4.01 m/s

Explanation:

According to the law of conservation of energy:

Kinetic\ Energy\ Lost\ by\ Ball = Potential\ Energy\ Gained\ by\ the\ Ball \\\frac{1}{2}m(v_f^2-v_i^2) = mgh\\\\ v_f^2-v_i^2 = 2gh\\v_f^2 = 2gh + v_i^2\\

where,

vf = final speed of ball at top of the ramp = ?

vi = initial speed of ball = 2.62 m/s

g = acceleration due to gravity = 9.81 m/s²

h = height = 0.47 m

Therefore,

v_f^2 = (2)(9.81\ m/s^2)(0.47\ m)+(2.62\ m/s)^2\\v_f = \sqrt{9.2214\ m^2/s^2+6.8644\ m^2/s^2}\\

<u>vf = 4.01 m/s</u>

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Explanation:

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1. Maples, dogwoods, and oaks are all examples of<br>trees, which shed their leaves every year.​
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In an 8.00km race, one runner runs at a steady 11.8 km/hr and another runs at 15.0 km/hr. How far from the finish line is the sl
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Answer:

The slower runner is 1.71 km from the finish line when the fastest runner finishes the race.

Explanation:

Given;

the speed of the slower runner, u₁ = 11.8 km/hr

the speed of the fastest runner, u₂ = 15 km/hr

distance, d = 8 km

The time when the fastest runner finishes the race is given by;

Time = \frac{Distance }{speed}\\\\Time = \frac{8}{15} \\\\Time = 0.533 \ hr

The distance covered by the slower runner at this time is given by;

d₁ = u₁ x 0.533 hr

d₁ = 11.8 km/hr x 0.533 hr

d₁ = 6.29 km

Additional distance (x) the slower runner need to finish is given by;

6.29 km + x = 8km

x = 8 k m - 6.29 km

x = 1.71 km

Therefore, the slower runner is 1.71 km from the finish line when the fastest runner finishes the race.

5 0
3 years ago
Two sound waves of equal amplitude interference so that compression of one wave falls on the rarefaction of the other. Which sta
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An insulated piston–cylinder device contains 5 l of saturated liquid water at a constant pressure of 150 kpa. an electric resist
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At the initial state: v1 = vf = 0.001053 m 3 /kg, h1 = hf = 467.11 kJ/kg, and s1 = sf = 1.4336 kJ/kgK.
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 To find the final state, we will use the First Law:
 Q12 = m(h2 - h1) for closed system undergoing a constant pressure process.
 h2 = 1Q2/m + h1 = 2200/4.7483 + 467.11 = 930.43 kJ/kg.
 At P2 = P1 = 150 kPa, this is a saturated mixture.
 hf = 467.11 kJ/kg, hfg = 2226.5 kJ/kg, sf = 1.4336 kJ/kgK, and sfg = 5.7897  kJ/kgK
 s2 = sf + sfg (h2 – hf )/hfg = 1.4336 + 5.7897(930.43 – 467.11)/2226.5 =   2.6384 kJ/kgK.
 The entropy change of water is:
 Delta Ssys= m(s2 – s1) = 4.7483(2.6384 – 1.4336) = 5.72 kJ/K. 

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3 years ago
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