Is it necessary to calculate acceleration for this problem?

• Benjamin_harsh
In summary, the conversation discusses a scenario where a force of 100N is applied to a 5kg body with coefficients of static and kinetic friction of 0.60 and 0.55 respectively. The maximum static friction force is calculated to be 29.4N, resulting in a net force of 70.6N and an acceleration of 14.1 m/sec^2 to the right. If the force is great enough to overcome static friction, the kinetic friction can be used to calculate the problem. The net force in this case would be 73.05N, resulting in an acceleration of 14.61 m/sec^2 to the right. The problem being asked to calculate is not specified.
Benjamin_harsh
Homework Statement
A force of 100N applied to a body which has 5kg mass. Coefficient of static friction(##μ_{s}##) is 0.60 and Coefficient of kinetic friction(##μ_{k}##) is 0.55.
Relevant Equations
Acceleration from Net force, ##a = \large \frac{70.6}{5}## = ##14.1 \;m/sec^{2}## to the right.

Acceleration from Net force, ##a = \large \frac{73.06}{5}## = ##14.61 \;m/sec^{2}## to the right.
A force of 100N applied to a body which has 5kg mass. Coefficient of static friction(μs) is 0.60 and Coefficient of kinetic friction(μk) is 0.55.

A) ##μ_{s} = 0.60##; ##μ_{k} = 0.55##
##F_{s}^{max} = F_{n}*μ_{s}##
##F_{s}^{max} = 49*0.60 (F_{n} = 9.8 \;m/sec^{2} *(5kg) = 49N)##
##F_{s}^{max} = 29.4 N##
Net force, ##F_{net} = 100 – 29.4N = 70.6N##
Acceleration from Net force, ##a = \large \frac{70.6}{5}## = ##14.1 \; m/sec^{2}## to the right.

Frictional force = ##F_{n}*μ_{k}##
Frictional force = ##49*(0.55) = 26.95N##
Net Force, ##F_{net} = 100 – 26.95 = 73.05N##

Acceleration from Net force, ##a = \large \frac{73.06}{5}## = ##14.61 \; m/sec^{2}## to the right.

First, calculate if the force is great enough to overcome the static friction. If not, it will not move. If it is great enough, use the kinetic friction to calculate whatever the problem asks you to calculate. Your statement of the problem is not complete. You do not say what it asks you to calculate.

1. What is acceleration and why is it important to calculate it in scientific problems?

Acceleration is the rate at which an object's velocity changes over time. It is important to calculate acceleration in scientific problems because it helps us understand how quickly an object is speeding up or slowing down, and how its velocity is changing in relation to time and other factors.

2. How is acceleration calculated in scientific problems?

Acceleration can be calculated by dividing the change in velocity by the change in time. The formula for acceleration is a = (vf - vi) / t, where a is acceleration, vf is final velocity, vi is initial velocity, and t is time.

3. Is it always necessary to calculate acceleration in a scientific problem?

No, it is not always necessary to calculate acceleration in a scientific problem. It depends on the specific problem and what information is needed to solve it. In some cases, other factors such as force, distance, or velocity may be more important to calculate.

4. How does acceleration affect an object's motion?

Acceleration affects an object's motion by changing its velocity. If an object is accelerating, its velocity will increase or decrease depending on the direction of the acceleration. This can cause the object to speed up, slow down, or change direction.

5. What are some real-life examples of problems where it is necessary to calculate acceleration?

Some real-life examples of problems where it is necessary to calculate acceleration include determining the impact of a force on an object, calculating the speed of a falling object, analyzing the motion of a car on a curved road, and studying the movement of planets and satellites in space.

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