1. a hammer and a feather are both dropped from the same height in a vacuum chamber. the hammer has a larger mass than the feather. which one will have the larger force of gravity acting on it?
a. the hammer
b. the feather
c. both have the same force of gravity
d. not enough information to tell
2. which object will have the larger acceleration due to gravity?
a. the hammer
b. the feather
c. both have the same acceleration due to gravity
d. not enough information to tell
3. which free - body diagram does not show an object at equilibrium?
diagrams are shown with forces: 75 n, 70 n, 10 n, 50 n etc
4. a ball is dropped from the top of a hill at an initial position of 8 meters above the ground. after the ball has fallen to the ground below, what is the displacement of the ball in the y direction in meters?
a. not enough information to tell
b. 0 meters
c. 8 meters
d. - 8 meters
e. - 9.8 meters
5. a 20 kg box is placed on a flat platform scale. a rope is attached to the box and pulls up with some unknown tension force. the platform scale reads 40 newtons. what must be the tension in the rope?
a. 40 newtons
b. 0 newtons
c. 236 newtons
d. 156 newtons
e. 196 newtons
6. an object has a velocity of - 10 m/s and an acceleration of + 3 m/s². is the object speeding up or slowing down?
a. speeding up
b. slowing down
c. neither, its at rest
d. neither, its moving at a constant velocity

Question

1. a hammer and a feather are both dropped from the same height in a vacuum chamber. the hammer has a larger mass than the feather. which one will have the larger force of gravity acting on it?
  a. the hammer
  b. the feather
  c. both have the same force of gravity
  d. not enough information to tell
2. which object will have the larger acceleration due to gravity?
  a. the hammer
  b. the feather
  c. both have the same acceleration due to gravity
  d. not enough information to tell
3. which free - body diagram does not show an object at equilibrium?
  diagrams are shown with forces: 75 n, 70 n, 10 n, 50 n etc
4. a ball is dropped from the top of a hill at an initial position of 8 meters above the ground. after the ball has fallen to the ground below, what is the displacement of the ball in the y direction in meters?
  a. not enough information to tell
  b. 0 meters
  c. 8 meters
  d. - 8 meters
  e. - 9.8 meters
5. a 20 kg box is placed on a flat platform scale. a rope is attached to the box and pulls up with some unknown tension force. the platform scale reads 40 newtons. what must be the tension in the rope?
  a. 40 newtons
  b. 0 newtons
  c. 236 newtons
  d. 156 newtons
  e. 196 newtons
6. an object has a velocity of - 10 m/s and an acceleration of + 3 m/s². is the object speeding up or slowing down?
  a. speeding up
  b. slowing down
  c. neither, its at rest
  d. neither, its moving at a constant velocity

Accepted Answer

### 1.
# Explanation:
## Step1: Recall gravitational - force formula
The force of gravity is given by $F = mg$, where $m$ is mass and $g$ is the acceleration due to gravity. In a vacuum, $g$ is the same for all objects, and since the hammer has a larger mass than the feather, using $F = mg$, the hammer has a larger force of gravity acting on it.
# Answer:
a. The hammer

### 2.
# Explanation:
## Step1: Recall acceleration - due - to - gravity concept
In a vacuum (or near the surface of the Earth in the absence of air - resistance), all objects have the same acceleration due to gravity, approximately $g=9.8\ m/s^{2}$. It does not depend on the mass of the object.
# Answer:
c. Both have the same acceleration due to gravity

### 3.
# Explanation:
## Step1: Analyze net force for equilibrium
For an object to be in equilibrium, the net force in both the x - and y - directions must be zero. In option a, in the x - direction, $F_{netx}=75 - 70-10=- 5\ N
eq0$. So the object is not in equilibrium.
# Answer:
a.

### 4.
# Explanation:
## Step1: Define displacement
Displacement is the change in position. The initial position of the ball is $y_{i}=8\ m$ and the final position is $y_{f}=0\ m$. Displacement $\Delta y=y_{f}-y_{i}=0 - 8=-8\ m$.
# Answer:
d. - 8 meters

### 5.
# Explanation:
## Step1: Calculate the weight of the box
The weight of the box is $W = mg$, where $m = 20\ kg$ and $g = 9.8\ m/s^{2}$, so $W=20	imes9.8 = 196\ N$.
## Step2: Use the force - balance equation
Let the tension in the rope be $T$. The normal force $N = 40\ N$. According to the force - balance equation $N+T=W$. Then $T=W - N=196 - 40=156\ N$.
# Answer:
d. 156 Newtons

### 6.
# Explanation:
## Step1: Analyze the signs of velocity and acceleration
The velocity $v=-10\ m/s$ (negative, indicating motion in the negative direction) and the acceleration $a = + 3\ m/s^{2}$ (positive, indicating acceleration in the positive direction). Since the velocity and acceleration have opposite signs, the object is slowing down.
# Answer:
b. Slowing down

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QUESTION IMAGE

Question

Explanation:

1.

Step1: Recall gravitational - force formula

Step1: Recall acceleration - due - to - gravity concept

Step1: Analyze net force for equilibrium

Answer:

2.