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Practice — Forces and Motion • Normal Contact Force and Motion in a Vertical Line

Normal reactions and loss of contact: check 1
Difficulty: ★★☆
6045
Info
M4U-EXT-QP-9709-M1-NORMAL-CONTACT-O1

Maths4U Original · Short practice

A 8 kg particle rests on a horizontal support. A separate upward force \(\displaystyle P=16 N\) acts on it. Use \(\displaystyle g= \frac{10m}{s^{2}}\). Every part assumes the particle stays in contact; the changed forces below still allow this.

Find the normal reaction in N.

Enter one exact number or fraction unless the question specifies rounding. Use the requested units and positive direction; enter the number without its unit. Angles here use degrees. Give full reasoning separately for written problems.

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Normal reactions and loss of contact: review variant 1
Difficulty: ★★☆
6046
Info
M4U-EXT-QP-9709-M1-NORMAL-CONTACT-O1-V1

Maths4U Original · Short practice

A 9 kg particle rests on a horizontal support. A separate upward force \(\displaystyle P=27 N\) acts on it. Use \(\displaystyle g= \frac{10m}{s^{2}}\). Every part assumes the particle stays in contact; the changed forces below still allow this.

Find the normal reaction in N.

Enter one exact number or fraction unless the question specifies rounding. Use the requested units and positive direction; enter the number without its unit. Angles here use degrees. Give full reasoning separately for written problems.

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Normal reactions and loss of contact: check 2
Difficulty: ★★☆
6047
Info
M4U-EXT-QP-9709-M1-NORMAL-CONTACT-O2

Maths4U Original · Short practice

A 9 kg particle rests on a horizontal support. A separate upward force \(\displaystyle P=27 N\) acts on it. Use \(\displaystyle g= \frac{10m}{s^{2}}\). Every part assumes the particle stays in contact; the changed forces below still allow this.

Find the particle’s weight in N.

Enter one exact number or fraction unless the question specifies rounding. Use the requested units and positive direction; enter the number without its unit. Angles here use degrees. Give full reasoning separately for written problems.

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Normal reactions and loss of contact: review variant 2
Difficulty: ★★☆
6048
Info
M4U-EXT-QP-9709-M1-NORMAL-CONTACT-O2-V1

Maths4U Original · Short practice

A 10 kg particle rests on a horizontal support. A separate upward force \(\displaystyle P=40 N\) acts on it. Use \(\displaystyle g= \frac{10m}{s^{2}}\). Every part assumes the particle stays in contact; the changed forces below still allow this.

Find the particle’s weight in N.

Enter one exact number or fraction unless the question specifies rounding. Use the requested units and positive direction; enter the number without its unit. Angles here use degrees. Give full reasoning separately for written problems.

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Normal reactions and loss of contact: check 3
Difficulty: ★★☆
6049
Info
M4U-EXT-QP-9709-M1-NORMAL-CONTACT-O3

Maths4U Original · Short practice

A 10 kg particle rests on a horizontal support. A separate upward force \(\displaystyle P=40 N\) acts on it. Use \(\displaystyle g= \frac{10m}{s^{2}}\). Every part assumes the particle stays in contact; the changed forces below still allow this.

If the upward applied force is doubled, find the new reaction in N.

Enter one exact number or fraction unless the question specifies rounding. Use the requested units and positive direction; enter the number without its unit. Angles here use degrees. Give full reasoning separately for written problems.

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Normal reactions and loss of contact: review variant 3
Difficulty: ★★☆
6050
Info
M4U-EXT-QP-9709-M1-NORMAL-CONTACT-O3-V1

Maths4U Original · Short practice

A 3 kg particle rests on a horizontal support. A separate upward force \(\displaystyle P=3 N\) acts on it. Use \(\displaystyle g= \frac{10m}{s^{2}}\). Every part assumes the particle stays in contact; the changed forces below still allow this.

If the upward applied force is doubled, find the new reaction in N.

Enter one exact number or fraction unless the question specifies rounding. Use the requested units and positive direction; enter the number without its unit. Angles here use degrees. Give full reasoning separately for written problems.

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Normal reactions and loss of contact: check 4
Difficulty: ★★☆
6051
Info
M4U-EXT-QP-9709-M1-NORMAL-CONTACT-O4

Maths4U Original · Short practice

A 3 kg particle rests on a horizontal support. A separate upward force \(\displaystyle P=3 N\) acts on it. Use \(\displaystyle g= \frac{10m}{s^{2}}\). Every part assumes the particle stays in contact; the changed forces below still allow this.

If instead the original P acts vertically downward, find the reaction in N.

Enter one exact number or fraction unless the question specifies rounding. Use the requested units and positive direction; enter the number without its unit. Angles here use degrees. Give full reasoning separately for written problems.

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Normal reactions and loss of contact: review variant 4
Difficulty: ★★☆
6052
Info
M4U-EXT-QP-9709-M1-NORMAL-CONTACT-O4-V1

Maths4U Original · Short practice

A 4 kg particle rests on a horizontal support. A separate upward force \(\displaystyle P=8 N\) acts on it. Use \(\displaystyle g= \frac{10m}{s^{2}}\). Every part assumes the particle stays in contact; the changed forces below still allow this.

If instead the original P acts vertically downward, find the reaction in N.

Enter one exact number or fraction unless the question specifies rounding. Use the requested units and positive direction; enter the number without its unit. Angles here use degrees. Give full reasoning separately for written problems.

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