1.A force of 40.0 N is needed to compress a spring 0.200 m. A 1.00 x 10-2 kg ball
a) Calculate the work done to compress the spring. (2 marks)
b) What happens to the work done on the spring ? (1 mark)
c) If the spring is released, what happens to the energy of the spring? (1 mark)
d) Calculate the total mechanical energy of the ball at the instant it leaves the spring. (2 marks)
e) What will be the speed of the ball at the instant it leaves the spring? (2 marks)
f) If the ball is fired up into the air by the spring, how much gravitational potential energy will it gain? (1 mark)
g) What will be the maximum height of the ball? (2 marks
2.Suppose you measure a block’s weight by hanging it from a spring scale. You find that it
weighs 34.0 N
34.0 N when it’s not in the water. When it’s submerged in water (the density of water is
1.00 x 103 kg/m3) the scale now reads 27.0 N. (a) What is the density of the block? (b) If you
suspended another object from the block that has a density of 3.20 x 103 kg/m3, with both objects
submerged, what would the object's mass need to be for the scale to once again read 34.0 N?
Note: Part (a) is worth 7 points, and part (b) is worth 8 points.
3.Use g = 9.8 m/s2.
The diagram below is a top-down view of two children pulling a 11.8-kg sled along the
ng the snow. The first child exerts a force of F1 = 11 N at an angle θ1 = 45° counterclockwise from the positive x direction. The second child exerts a force of F2 = 6 N at an angle θ2 = 30° clockwise from the positive x direction.
Find the magnitude (in N) and direction of the friction force acting on the sled if it moves with constant velocity.
direction (counterclockwise from the +x-axis)
What is the coefficient of kinetic friction between the sled and the ground?
What is the magnitude of the acceleration (in m/s2) of the sled if F1 is doubled and F2 is halved in magnitude?
6.hello can you please help to solve this system of equations k == (Sqrt[y^2 - 2 y^3 - y^4 +
+ Sqrt[2 - 2 y] -
k)/((y + 1) Sqrt[1 - y^2]),
Sqrt/2/m == k/(k - Sqrt[2 - 2 y]), n ==
Sqrt[2 - 2 Sqrt[1 - m^2]], z == Sqrt[2 - 2 y]/f ==
Sqrt[(zn)^2 - 2 + 2 y]/
Sqrt[n^2 - f^2], t == (Sqrt[g^2 - 2 g^3 - g^4 + 2 g + 1] +
Sqrt[2 - 2 g] - t)/((g + 1) Sqrt[1 - g^2]),
Sqrt/2/h == t/(t - Sqrt[2 - 2 g]), q ==
Sqrt[2 - 2 Sqrt[1 - h^2]], l == Sqrt[2 - 2 g]/p ==
Sqrt[(lq)^2 - 2 + 2 g]/
Sqrt[q^2 - p^2], (z + 1) x == (l + 1) 2 x == (y + 1) Sqrt[1 - y^2]/
Sqrt == Pi/4, q == m and determine true it or false thank you