How do motion and Newton's laws apply to your everyday life?

A single, nonconstant force acts in the + x ‑direction on an object of mass M that is constrained to move along the x ‑axis. As

klasskru [66]

Answer:

$3MQRT^2+\frac{9}{2}MR^2T^4$

Explanation:

In order to find the work done by the force, we use the work-energy theorem, which states that the work done by a force on an object is equal to the change in kinetic energy of the object. Mathematically:

$W=K_f-K_i = \frac{1}{2}mv^2-\frac{1}{2}mu^2$ (1)

where

W is the work done

m is the mass of the object

v is the final speed of the object

u is the initial speed

In this problem, we have:

m = M is the mass of the object

The position of the object at time t is

$x(t)=P+Qt+Rt^3$

We can find its speed at time t by calculating the derivative of the position:

$v(t)=x'(t)=Q+3Rt^2$

Therefore:

- The speed at time t = 0 is

$u=v(0)=Q$

- The speed at time t = T is

$v=v(T)=Q+3RT^2$

Substituting into eq.(1), we find the work done:

$W=\frac{1}{2}M(Q+3RT^2)^2-\frac{1}{2}MQ^2=\\=\frac{1}{2}MQ^2+3QRT^2+\frac{9}{2}MR^2T^4-\frac{1}{2}MQ^2=\\=3MQRT^2+\frac{9}{2}MR^2T^4$

6 0

3 years ago

The upward normal force exerted by the floor is 620 N on an elevator passenger who weighs 650 N. What are the reaction forces to

lara31 [8.8K]

Answer:

The reaction to the upward normal force is the passengers weight which acts downward oppositely which is 620. The reaction to the passengers weight is the upward normal force. The two force lie in the same axis or along one line so we can take the y-axis which is the total forces should be equal to zero. ΣFy=0

the two forces are acting each other but opposite in direction.

let Fu; is an upward force=620N

Fp; is the downward or passengers weight=650N

ΣFy=Fu+Fp

=(620-650)N

=-30N this shows that the passenger is accelerating downward with the acceleration of

F= ma from the above we can get the mass of the passenger by using this formula. W=mg take g=10 N/kg so 650=10m from this we can divide both sides by 10 to get the mass m. m= 650/10

m=65kg

so using newton's second law F=ma we can find the acceleration of the passenger. Given required solution

F=-30N a=? F=ma a=F/m

m=65kg a=-30N/65kg

a= -0.46 N/kg

The negative sign indicates the acceleration is downward.

Explanation:

6 0

3 years ago

Read 2 more answers

Color ________ can be relative to the other colors nearby. for example, violet can be warm if we see it next to a hot color like

Rudik [331]

It is because it is shadede

8 0

3 years ago

Two steamrollers begin 105 mm apart and head toward each other, each at a constant speed of 1.20 m/s. At the same instant, a fly

levacccp [35]

Answer: 109.4 mm

Explanation: Distance is a scalar quantity and it is the measure of how much path there are between two locations. It can be calculated as the product of velocity and time: d = vt

The separation between the two steamrollers is 105 mm or 0.105 m. They collide to each other at the middle of the separation:

location of collision = $\frac{0.105}{2}$ = 0.0525 m