English-2
Grade-7
Easy
Question
Related Questions to study
English-2
English-2Grade-7
science
Rahim wants to skydive for the first time. Which of the following should he do to ensure a safe landing?
a) Deploy the parachute on time
b) Carry a pair of stylish goggles
c) Carry a helmet for safety
d) Wear a pair of sneakers
Rahim wants to skydive for the first time. Which of the following should he do to ensure a safe landing?
a) Deploy the parachute on time
b) Carry a pair of stylish goggles
c) Carry a helmet for safety
d) Wear a pair of sneakers
scienceGrade-7
science
What happens to the gravitational and the applied forces acting on a ball thrown up when it reaches the topmost point?
What happens to the gravitational and the applied forces acting on a ball thrown up when it reaches the topmost point?
scienceGrade-7
science
What forces are acting on a ball when it is thrown up until it reaches the topmost point? How are they aligned?
What forces are acting on a ball when it is thrown up until it reaches the topmost point? How are they aligned?
scienceGrade-7
science
When a skydiver deploys her parachute, she is under the action of ____.
When a skydiver deploys her parachute, she is under the action of ____.
scienceGrade-7
science
A truck is moving forward on the road and experiencing a frictional force of 203 N. The force applied by its engine is 743 N. Considering the air resistance to be negligible, calculate the force that the break needs to apply on it in order to stop it. In which direction should this force be applied?
A truck is moving forward on the road and experiencing a frictional force of 203 N. The force applied by its engine is 743 N. Considering the air resistance to be negligible, calculate the force that the break needs to apply on it in order to stop it. In which direction should this force be applied?
scienceGrade-7
science
A skydiver jumps from a high-flying helicopter. Which of the statements about him is true?
A skydiver jumps from a high-flying helicopter. Which of the statements about him is true?
scienceGrade-7
science
A car accelerating uniformly on the road comes across a rough road so that the frictional force increases sufficiently to balance out the forward force exerted by the engine. What would happen to the motion of the car?
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)
A car accelerating uniformly on the road comes across a rough road so that the frictional force increases sufficiently to balance out the forward force exerted by the engine. What would happen to the motion of the car?
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)
scienceGrade-7
science
A book lying on a table was pushed, and it moved. What kinds of forces were acting on the book when it was lying on the table and when it moved?
- Gravitational force is a non-contact force.
- Friction is a contact force.
- Reaction force due to table is a contact force.
- Contact force can be a push, full or friction.
A book lying on a table was pushed, and it moved. What kinds of forces were acting on the book when it was lying on the table and when it moved?
scienceGrade-7
- Gravitational force is a non-contact force.
- Friction is a contact force.
- Reaction force due to table is a contact force.
- Contact force can be a push, full or friction.
science
An avocado hangs from a branch of a tree. What kinds of forces are acting on it?
An avocado hangs from a branch of a tree. What kinds of forces are acting on it?
scienceGrade-7
science
An object is under the action of two forces that balance out each other. The forces are ____.
An object is under the action of two forces that balance out each other. The forces are ____.
scienceGrade-7
science
Vimal had a remote-control toy car, which had separate buttons to control its velocity and direction of motion. He wanted it to be under balanced forces. How should he use the remote for that?
A) He should not start the car or use the remote.
B) He should start the car and then keep on increasing its velocity uniformly
C) He should start the car and make it move in a circular path
D) He should start the car and fix its velocity at a certain value and fix its direction of motion.
- Centripetal acceleration is needed for circular motion. Means there will be net centripetal force also.
- Velocity is increasing means there is acceleration. And hence, there is net force.
Vimal had a remote-control toy car, which had separate buttons to control its velocity and direction of motion. He wanted it to be under balanced forces. How should he use the remote for that?
A) He should not start the car or use the remote.
B) He should start the car and then keep on increasing its velocity uniformly
C) He should start the car and make it move in a circular path
D) He should start the car and fix its velocity at a certain value and fix its direction of motion.
scienceGrade-7
- Centripetal acceleration is needed for circular motion. Means there will be net centripetal force also.
- Velocity is increasing means there is acceleration. And hence, there is net force.
science
A biker is moving on a circular track. What kind of forces are acting on him?
A biker is moving on a circular track. What kind of forces are acting on him?
scienceGrade-7
science
Pick the odd one out.
Pick the odd one out.
scienceGrade-7
science
Calculate the gravitational force acting on the ball in the figure below
![](data:image/png;base64,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)
Calculate the gravitational force acting on the ball in the figure below
![](data:image/png;base64,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)
scienceGrade-7