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GaryK [48]
2 years ago
13

A giant armadillo moving north word with a constant acceleration covers the distance between two points 60 m apart and six secon

ds its velocity as it passes the second point is 15 m/s
Physics
2 answers:
Dmitry [639]2 years ago
5 0

The acceleration is a = 1.7 m/s^2

v_{0}The rate at which the velocity of an item in motion changes is known as acceleration.

The sum of all the forces operating on an item, as specified by Newton's second law of motion, produces this value.

We need to know the initial and final velocities as well as the amount of time that has passed in order to calculate acceleration.

We must determine the initial velocity based on the supplied numbers. Some kinematic equations are utilized.

We do as follows:

x=v_{0}t + \frac{at^{2} }{2}

x =  60m

t=6 sec

60 = v0(6) + a(6)^2/2

60 = 6v0 + 18a    {equation 1}

v_{f}=v_{0} + at

v_{f}= 15 m/s

15 = v0 + a(6)

15 = v0 + 6a    {equation 2}

Solving for v_{0} and a,

v_{0} = 5 m/s

a = 1.7 m/s^2

To learn more about constant acceleration

brainly.com/question/21282038

#SPJ4

Goshia [24]2 years ago
4 0

The acceleration is a = 1.7 m/s²

The rate at which the velocity of an item in motion changes is known as acceleration.

The sum of all the forces operating on an item, as specified by Newton's second law of motion, produces this value.

We need to know the initial and final velocities as well as the amount of time that has passed in order to calculate acceleration.

We must determine the initial velocity based on the supplied numbers. Some kinematic equations are utilized.

Evaluating the problem:

x=v_{0} t +\frac{at^{2} }{2}

x =  60m

t=6 sec

60 =v_{0} 6 + a6^{2} /2

60 = 6v_{0} + 18a    {equation 1}

v_{f} = v_{0} +at

v_{f}= 15 m/s

15 = v_{0} + a(6)

15 = v_{0} + 6a    {equation 2}

Solving for  and a,

v_{0} = 5 m/s

a = 1.7 m/s^2

What is Newton's second law ?

Newton's second law is a quantitative description of the changes that a force can produce on the motion of a body. It states that the time rate of change of the momentum of a body is equal in both magnitude and direction to the force imposed on it.

Learn more about Newton second law:

brainly.com/question/25545050

#SPJ4

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as it is given that curved marked the speed as v = 70 km/h

so we will first convert the speed into m/s

v = 70 km/h = 19.44 m/s

now we know that here friction force will provide centripetal force

F_c = F_f

As we know that centripetal force is given as

F_c = \frac{mv^2}{R}

\frac{mv^2}{R} = \mu_k mg

\frac{v^2}{R} = \mu_k g

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19.44^2 = 0.5* R * 9.8

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3 years ago
WILL GIVE BRAINLIEST
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Answer:

2\:\mathrm{m/s^2}

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7 0
3 years ago
Figure 8-56 shows a solid, uniform cylinder of mass 7.00 kg and radius 0.450 m with a light string wrapped around it. A 3.00-N t
AVprozaik [17]

Answer:

a) The cylinder has an angular acceleration of 3.810 radians per square second, b) The frictional force has a magnitude of 9 newtons and has the same direction of tension force.

Explanation:

The external force exerted on string creates a tension force that tries to move the cylinder in translation, but it is opposed by the friction force between cylinder and ground that generates rolling on cylinder. The Free Body Motion on cylinder-string system is presented below as attachment. Given that cylinder is a rigid body in planar motion, two equations of equilibrium for translation and an equation of equilibrium for rotation are needed to represent the system, which are now described:

\Sigma F_{x} = T + f = M\cdot R\cdot \alpha

\Sigma F_{y} = N - M\cdot g = 0

\Sigma M_{G} = (T-f)\cdot R = I_{G}\cdot \alpha

Where:

T - Tension, measured in newtons.

f - Friction force, measured in newtons.

M - Mass of the cylinder, measured in kilograms.

R - Radius of the cylinder, measured in meters.

\alpha - Angular acceleration, measured in radians per square second.

N - Normal force from ground exerted on cylinder, measured in newtons.

g - Gravitational acceleration, measured in meters per square second.

I_{G} - Moment of inertia of the cylinder with respect to its center of mass, measured in kilogram-square meters.

The moment of inertia of the cylinder is:

I_{G} = \frac{1}{2}\cdot M\cdot R^{2}

a) The angular acceleration is determined by solving on first and third equation after eliminating  friction force:

f = M\cdot R \cdot \alpha - T

(T-M\cdot R\cdot \alpha+T) \cdot R = I_{G}\cdot \alpha

2\cdot T\cdot R = (I_{G} + M\cdot R^{2})\cdot \alpha

\alpha = \frac{2\cdot T\cdot R}{I_{G}+M\cdot R^{2}}

\alpha = \frac{2\cdot T \cdot R}{\frac{1}{2}\cdot M\cdot R^{2}+M\cdot R^{2} }

\alpha = \frac{4\cdot T}{3\cdot M\cdot R}

If T = 3\,N, M = 7\,kg and R = 0.45\,m, then:

\alpha = \frac{4\cdot (3\,N)}{(7\,kg)\cdot (0.45\,m)}

\alpha = 3.810\,\frac{rad}{s^{2}}

The cylinder has an angular acceleration of 3.810 radians per square second.

b) The magnitude of the frictional force can be determined with the help of the following expression:

f = M\cdot R \cdot \alpha - T

Given that T = 3\,N, M = 7\,kg, R = 0.45\,m and \alpha = 3.810\,\frac{rad}{s^{2}}, the magnitude of the friction force is:

f = (7\,kg)\cdot (0.45\,m)\cdot \left(3.810\,\frac{rad}{s^{2}} \right)-3\,N

f = 9\,N

The frictional force has a magnitude of 9 newtons and has the same direction of tension force.

5 0
4 years ago
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