Answer:
The number of forces that are acting on the mouse will be three (Normal force, friction force and force of the mouse´s weight)
Explanation:
The number of forces that are acting on the mouse will be three. the first is the normal force acting on the midpoint of the mouse, this force is directed upward, the other is the force between the block and the bottom of the mouse, which is the friction force, and the third is the force of the mouse´s weight, which is defined as the multiplication of mass by gravity.
Answer:
The mass of the Al-duckie should be 30 kg.
Explanation:
We will use the first law of thermodynamics:
ΔU = m·Cv·ΔT
Since the specific heat of water is 4.185 J(gºC), the change in the water's internal energy would be:
ΔU = 100 kg · 4.185 J(gºC) · (42ºC - 38ºC) = 1674 KJ
Given that no heat is lost, all the internal energy that the water loses while cooling down will transfer to the duckie. So, if the duckie has ΔU = 1674 KJ and its final temperature is the desired 38 ºC, we can calculate its mass using the first law again:
![m=\frac{\Delta{U}}{Cv{\Delta{T}}}=\frac{1674}{0.9*[38-(-24)]}=30Kg](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B%5CDelta%7BU%7D%7D%7BCv%7B%5CDelta%7BT%7D%7D%7D%3D%5Cfrac%7B1674%7D%7B0.9%2A%5B38-%28-24%29%5D%7D%3D30Kg)
<span>The force acting on the ball is the same than the ball acts on the floor at the moment of hitting but in the reverse direction. So the ball produces a force downwards and the floor makes the same force in value but upwards.
Then the value of the force that impulses the ball upward is: F = m * a
where F is force or impulse, m is mass of the ball and a is acceleration (9.8 m/s2)
F = 1.2 kg * 9.8 m/s2 = 11.76 kg*m/s2 = 11.76 Newtons (upwards)</span>
F1x + F2x = Rx
↓
Rx = F1x + F2x
↓
Rx = F1 cos45° + F2
↓
Rx = (50N)(cos45°) + 60N
↓
Rx = 95N
Similarly, if we sum all the y components, we will get the y component of the resultant force:
F1y + F2y = Ry
↓
Ry = F1y + F2y
↓
Ry = F1 sin45° + 0
↓
Ry = F1 sin45°
↓
Ry = (50N)(sin45°)
↓
Ry = 35N
At this point, we know the x and y components of R, which we can use to find the magnitude and direction of R:
Rx = 95N
Ry = 35N
