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konstantin123 [22]
3 years ago
5

a basketball is tossed upwards with a speed of 5.0 m/s What is the maximum height reached by the basketball from its release poi

nt?
Physics
2 answers:
gizmo_the_mogwai [7]3 years ago
7 0

Answer:

Maximum height, h = 1.27 meters

Explanation:

It is given that,

Initial speed of the basketball, u = 5 m/s

At maximum height, the final speed of the basketball, v = 0

Let h is the maximum height reached by the basketball from its release point. It can be calculated using third equation of motion as :

v^2-u^2=2as

Here, a = -g

-u^2=-2gh

u^2=2gh

h=\dfrac{u^2}{2g}

h=\dfrac{(5)^2}{2\times 9.8}

h = 1.27 meters

So, the maximum height reached by the basketball from its release point is 1.27 meters. Hence, this is the required solution.

den301095 [7]3 years ago
3 0

Answer:

1.275 m

Explanation:

Let the maximum height reached be h.

Here initial velocity, u = 5 m/s

Final velocity, V = 0

Use third equation of motion

V^2 = u^2 + 2 g h

0 = 25 - 2 × 9.8 × h

h = 25/19.6 = 1.275 m

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3 years ago
A centrifuge used in DNA extraction spins at a maximum rate of 7000rpm producing a "g-force" on the sample that is 6000 times th
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Answer:

A) a = 73.304 rad/s²

B) Δθ = 3665.2 rad

Explanation:

A) From Newton's first equation of motion, we can say that;

a = (ω - ω_o)/t. We are given that the centrifuge spins at a maximum rate of 7000rpm.

Let's convert to rad/s = 7000 × 2π/60 = 733.04 rad/s

Thus change in angular velocity = (ω - ω_o) = 733.04 - 0 = 733.04 rad/s

We are given; t = 10 s

Thus;

a = 733.04/10

a = 73.304 rad/s²

B) From Newton's third equation of motion, we can say that;

ω² = ω_o² + 2aΔθ

Where Δθ is angular displacement

Making Δθ the subject;

Δθ = (ω² - ω_o²)/2a

At this point, ω = 0 rad/s while ω_o = 733.04 rad/s

Thus;

Δθ = (0² - 733.04²)/(2 × 73.304)

Δθ = -537347.6416/146.608

Δθ = - 3665.2 rad

We will take the absolute value.

Thus, Δθ = 3665.2 rad

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