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n200080 [17]
3 years ago
12

A girl standing on a bridge throws a stone vertically downward with an initial velocity of 15.0 m/s into the river below. If the

stone hits the water 2.00 seconds later, what is the height of the bridge above the water?
Remember to identify all your data, write the equation, and show your work.
Physics
1 answer:
hodyreva [135]3 years ago
6 0
Vi = 15 m/s
t = 2 s
a = 9.8 m/s^2
y = ?

The kinematic equation that has all of our variables is d = Vi*t + 0.5*a*t^2
y = 15*2 + 0.5*9.8*2^2 = 49.6 m
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A sprinter in a 100-m race accelerates uniformly for the first 71 m and then runs with constant velocity. The sprinter’s time fo
adoni [48]

Answer:

The acceleration of the sprinter is 1.4 m/s²

Explanation:

Hi there!

The equation of position of the sprinter is the following:

x = x0 + v0 · t + 1/2 · a · t²

Where:

x = position of the sprinter at a time t.

x0 = initial position.

v0 = initial velocity.

t = time.

a = acceleration.

Since the origin of the frame of reference is located at the starting point and the sprinter starts from rest, then, x0 and v0 are equal to zero:

x = 1/2 · a · t²

At t = 9.9 s, x = 71 m

71 m = 1/2 · a · (9.9 s)²

2 · 71 m / (9.9 s)² = a

a = 1.4 m/s²

The acceleration of the sprinter is 1.4 m/s²

3 0
4 years ago
A block of mass M1 = 288.0 kg sits on an inclined plane and is connected to a bucket with a massless string over a massless and
AlekseyPX

Answer:

M2 = 278.06 kg

Explanation:

We calculate the weight of M1

W=m*g

Where

m: mass (kg)

g: acceleration due to gravity (m/s²)

W₁=288* 9.8= 2822.4 N

Look at the attached graphic

We calculate the x-y components of the weight :

W₁x= 2822.4*sin41° N =1851.66 N

W₁y= 2822.4 *cos41° N = 2130.09 N

We apply Newton's first law for the balance in M1:

Σ Fy=0

Fn-W₁y=0  ,   Fn: normal force

Fn=W₁y=2130.09N

Friction Force = Ff=μs *Fn = 0.41*2130.09 =873.34 N

Σ Fx=0

T- W₁x- Ff=0

T= 1851.66 + 873.34

T= 1851.66 + 873.34

T=2725 N

We apply Newton's first law for the balance in M2:

Σ Fy=0

T- W₂ =0

W₂ = T = 2725 N

W₂ = M2*g

M2 = W₂/g

M2 = 2725/9.8

M2 = 278.06 kg

6 0
3 years ago
During a baseball game, a batter hits a popup to a fielder 84 m away. The acceleration of gravity is 9.8 m/s 2 . If the ball rem
Nezavi [6.7K]

The ball rises up to 30.625 m high.

<h3>What is gravity?</h3>

The force that pulls items toward the centre of a planet or other entity is called gravity. All of the planets are kept in orbit around the sun by gravity.

Given parameters:

Horizontal range of the ball; R = 84 m.

Time of flight of the ball: T = 5 s.

Acceleration due to gravity; g = 9.8 m/s².

We have to find, maximum height obtained by the ball; H = ?

In projectile motion, time of flight is; T = 2usinθ/g

Where, u = initial velocity of the ball and θ = angle of projection.

So, 2usinθ/g = 5

⇒ usinθ = 5g/2 = (5×9.8)/2m/s = 24.5 m/s.

Then maximum height obtained by the ball;

H = u²sin²θ/2g

= 24.5²/(2×9.8) = 30.625 m.

Hence,  maximum height obtained by the ball is 30.625 m.

Learn more about gravity here:

brainly.com/question/13860566

#SPJ1

4 0
1 year ago
How many moles are there in 321g of silver hydroxide?
lesya [120]

Answer:

2.5705594546378 mol

Explanation:

Used this calculator

http://www.endmemo.com/chem/mmass.php

3 0
3 years ago
Four model rockets are launched in a field. The mass of each rocket and the
TiliK225 [7]

Answer: it is rocket 2

Explanation: I just took the test

Hope it's the right answer for you

4 0
4 years ago
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