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Komok [63]
4 years ago
7

A car of mass 1400 kg travelling at 15 m/s goes over a circular arc-shaped bump in the road. if the radius of the arc is 40 m, w

hat is the normal force on the car as it is passing the top of the arc?
Physics
1 answer:
kari74 [83]4 years ago
8 0
The car on the top of the arc;
m = 1,400 kg, v = 15 m/s, r = 40 m;
The normal force:
F n = m g -  m v ² / r =
= 1,400 kg · 9.8 m / s² - (1,400 kg · ( 15 m/s )² : 40 m ) =
= 13,720 N - 7,875 N = 5,845 N
Answer:
B ) 5,800 N 
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irakobra [83]

An VIRTUAL image cannot be projected, and

forms where light rays appear to originate.

3 0
3 years ago
A spring is used to stop a 50-kg package which is moving down a 20º incline. The spring has a constant k = 30 kN/m and is held b
Elina [12.6K]

Answer:

0.3 m

Explanation:

Initially, the package has both gravitational potential energy and kinetic energy.  The spring has elastic energy.  After the package is brought to rest, all the energy is stored in the spring.

Initial energy = final energy

mgh + ½ mv² + ½ kx₁² = ½ kx₂²

Given:

m = 50 kg

g = 9.8 m/s²

h = 8 sin 20º m

v = 2 m/s

k = 30000 N/m

x₁ = 0.05 m

(50)(9.8)(8 sin 20) + ½ (50)(2)² + ½ (30000)(0.05)² = ½ (30000)x₂²

x₂ ≈ 0.314 m

So the spring is compressed 0.314 m from it's natural length.  However, we're asked to find the additional deformation from the original 50mm.

x₂ − x₁

0.314 m − 0.05 m

0.264 m

Rounding to 1 sig-fig, the spring is compressed an additional 0.3 meters.

8 0
3 years ago
Calculate change in height of a 2kg ball moving a speed of 10m/s up a frictionless ramp until it stops
Nataliya [291]

The change in the height of the object is 5.1 m.

<h3>Conservation of mechanical energy</h3>

The principle of conservation of mechanical energy states that the total energy of an isolated system is always conserved.

The change in the height of the object is calculated by applying the principle of conservation of mechanical energy as follows;

P.E = K.E

mg \Delta h = \frac{1}{2} mv^2\\\\g \Delta h = \frac{1}{2}v^2\\\\\Delta h = \frac{v^2}{2g} \\\\\Delta h = \frac{(10)^2}{2(9.8)} \\\\\Delta h = 5.1 \ m

Thus, the change in the height of the object is 5.1 m.

Learn more about conservation of mechanical energy here: brainly.com/question/6852965

6 0
2 years ago
What type of energy is stored in the nucleus of an atom?
GaryK [48]

Answer:

Nuclear energy

Explanation:

The nucleus holds the energy together

7 0
3 years ago
A rock is dropped from the top of a vertical cliff and takes 3.00 s to reach the ground below the cliff. A second rock is thrown
Trava [24]

Answer:

D) 12.3 m/s downward

Explanation:

We use the next free fall equation

h=v_{0}t+\frac{1}{2}gt^2

where h is the height of the cliff, v_{0} the initial velocity, g the acceleration of gravity (g=9.81m/s^2) and t is time.

For the fist rock v_{0}=0 since the rock was dropped, and t=3s, so we have:

h=(0m/s)(3s)+\frac{1}{2}(9.81m/s^2)(3s)^2

simplifying

h=44.145m

the height of the cliff is 44.145m

Now, about the second rock we know that is the same height and now the time es t=2s, and we need to find v_{0}

From the fist equation

h=v_{0}t+\frac{1}{2}gt^2

we clear for v_{0}

v_{0}t=h-\frac{1}{2} gt^2\\v_{0}=\frac{h}{t} -\frac{1}{2} gt

and substitute known values

v_{0}=\frac{44.145m}{2s} -\frac{1}{2} (9.81m/s^2)(2s)

v_{0}=22.07m/s -9.81m/s

v_{0}=12.26m/s wich rounds up to v_{0}=12.3m/s

the direction is downward because the rock is thrown so that it falls through the cliff.

7 0
3 years ago
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