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Mars2501 [29]
3 years ago
6

What ramp angle would produce an acceleration of 2 m/s2 for a cart rolling down? Assume no friction and that the angle is measur

ed with respect to the horizontal.
Physics
1 answer:
r-ruslan [8.4K]3 years ago
7 0
From Newton's second law:
a = F/mass
Therefore, acceleration of an object rolling a ramp would be:
a = g(sin theta) - friction coefficient (g) (sin theta)
The negative sine is due to the kinetic energy opposing the gravity

We are given that the friction coefficient is zero, the g is a constant = 9.8 m/sec and the acceleration is 2 m/sec^2
Substituting in the equation, we get:
2 = 9.8 sin(theta)
sin (theta) = 0.20408
theta = 11.7757 degrees 
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Answer:

The x and y components of the 500 N-force are 321.394 newtons and 383.023 newtons, respectively.

Explanation:

At first we present a figure describing the situation explained on statement, the x and y components of the force are determined by the following trigonometric expressions:

F_{x} = F\cdot \cos \alpha (1)

F_{y} = F\cdot \sin \alpha (2)

Where:

F - Magnitude of the force, measured in newtons.

\alpha - Direction of the force above the horizontal surface, measured in sexagesimal degrees.

If we know that F = 500\,N and \theta = 50^{\circ}, then the components of the force is:

F_{x} = (500\,N)\cdot \cos 50^{\circ}

F_{x} = 321.394\,N

F_{y} = (500\,N)\cdot \sin 50^{\circ}

F_{y} = 383.023\,N

The x and y components of the 500 N-force are 321.394 newtons and 383.023 newtons, respectively.

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3 years ago
What is the relationship between mass and weight?
Vikentia [17]

Answer:

C. Weight is mass times the acceleration of gravity.

Explanation:

Weight is the force exerted by gravity.  Force is equal to mass times acceleration.

4 0
3 years ago
A 40-kg rock is dropped from an elevation of 10 m. What is the velocity of the rock when it is 5-m from the ground?
ivolga24 [154]

Answer:

Explanation:

Given

mass of rock m=40\ kg

Elevation of Rock h=10\ m

Distance traveled by rock with time

h=ut+\frac{1}{2}at^2

where, u=initial velocity

t=time

a=acceleration

here initial velocity is zero

when rock is 5 m from ground then it has traveled a distance of 5 m from top because total height is 10 m

5=0\times t+\frac{1}{2}(9.8)(t^2)

t^2=\frac{10}{9.8}

t=1.004\approx 1\ s

velocity at this time

v=u+at

v=0+9.8\times 1.004

v=9.83\ m/s

6 0
3 years ago
During a cross-country flight you picked up rime icing which you estimate is 1/2" thick on the leading edge of the wings. You ar
igor_vitrenko [27]

Answer:

Use a faster than normal approach and landing speed.

Explanation

For pilots, it is one of the critical moments of the flight that concentrates 12% of fatal accidents. The main difficulty lies in reaching enough speed to take flight within the space of the runway. At present, it ceased to be a challenge for the aircraft, since the engine power improved, so the takeoff ceased to be the most dangerous moment of the flight.

One of the risks that aircraft face today is that some of the engines fail while the plane accelerates. In that case, the pilot must decide in an instant whether it is better to take flight and solve the problem in the air or if it is preferable not to take off.

Although for many staying on the ground might seem the most sensible option, it is not as simple as it seems: to suddenly decelerate an aircraft, with the weight it has and the speed it reaches can cause accidents. However, today a special cement was designed that runs around the runways of the airports, which when coming into contact with the wheels of the aircraft the ground breaks and helps to slow down.

6 0
3 years ago
A 60 kg skier starts from rest at the top of a frictionless slope of height of 35 meters. The velocity at the bottom is v. If a
Solnce55 [7]

Answer:

Explanation:

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= √ 2gh

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= 26.2 m / s

Speed of skier with parachute

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acceleration = 388 / 60

a = 6.47 m / s

v = √ 2ah

= √ 2 x 6.47 x 35

= 21.28 m / s

8 0
3 years ago
Read 2 more answers
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